find the general solution (y) using laplace transform
find the general solution (y) using laplace transform (1 point) Consider a spring attached to a...
(1 point) Consider a spring attached to a 1 kg mass, damping constant 6 = 9, and spring constant k = 20. The initial position of the spring is -1 metres beyond its resting length, and the initial velocity is 2 m/s. After 1 second, a constant force of 60 Newtons is applied to the system for exactly 2 seconds. Set up a differential equation for the position of the spring y (in metres beyond its resting length) after t...
Differential Equation problem We know that a force of 2.8 Newtons is required to stretch a certain spring 0.7 meters beyond its natural length. A 1.44-kg mass is attached to this spring and allowed to come to equilibrium. The mass-spring system is then set in motion by applying a push in the upward direction that gives the mass an initial velocity of 1.04 meters per second. Let y(t) represent the displacement of the mass above the equilibrium position t seconds...
In a hurry to digest this . Tks for the help (thumb up) 2. A mass of m kilograms (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixed to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The gravitational force is mg dowswards, where g- 9.8m is acceleration due to gravity, measured...
(1 point) A spring-mass system with a 5-kg mass and a damping constant 8-N sec/m can be held stretched 0.5 meters beyond its natural length by a force of 2.5 newtons. Suppose the spring is stretched 1 meters beyond its natural length and then released with zero velocity, In the notation of the text, what is the value y2 – 4mk? Find the position of the mass after t seconds. Your answer should be a function of the variable t...
We know that a force of 7.2 Newtons is required to stretch a certain spring 0.8 meters beyond its natural length. Questions Q1 (0/10) A 2.56-kg mass is attached to this spring and allowed to come to equilibrium. The mass-spring system is then set in motion by applying a push in the upward direction that gives the mass an initial velocity of 1.15 meters per second. Q2 (0/10) Q3 (0/10) Q4 (0/10) Q5 (0/10) Q6 (0/10) Let y(t) represent the...
A spring is suspended vertically from a fixed support. The spring has spring constant k=24 N m −1 k=24 N m−1 . An object of mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m −1 s β N m−1 s . Let y(t) y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time t...
Just question2(a) please. Thanks 2. An 10 kg object is hung from a spring attached to a fixed support. The spring constant of the spring is k = 40 N m-1. Suppose an external downward force of magnitude f(t) = 20e-2t N is applied to the object, and damping due to air resistance occurs with damping constant B = 40 N s m-1. Let y(t) denote the distance in metres of the object below its equilibrium position at time t...
A 10 kg mass attached to a spring stretches the spring 2 m beyond its natural length. At time t = 0, an external force of f (t ) = 20cos 4t Newtons is applied to the system, and the system is damped by a force of 3 N per m/s of motion. Assuming an initial position at equilibrium and no initial velocity, find the equation of motion and the phase angle. You can use decimals here if you hate...
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...